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Simplifying 3(v + -5) = 7v + 13 Reorder the terms: 3(-5 + v) = 7v + 13 (-5 * 3 + v * 3) = 7v + 13 (-15 + 3v) = 7v + 13 Reorder the terms: -15 + 3v = 13 + 7v Solving -15 + 3v = 13 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -15 + 3v + -7v = 13 + 7v + -7v Combine like terms: 3v + -7v = -4v -15 + -4v = 13 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -4v = 13 + 0 -15 + -4v = 13 Add '15' to each side of the equation. -15 + 15 + -4v = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -4v = 13 + 15 -4v = 13 + 15 Combine like terms: 13 + 15 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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